CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
College Board
2009 AP® Calculus AB Free-Response Questions Form B
Get a free peek into a calculus exam. Released free-response items from the AP® Calculus AB exam provide teachers and pupils examples of how topics may appear. The six questions cover topics such as growth rates, volumes of rotations,...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Curated OER
Cross Section and Slope
Students draw cross sections of given contour maps. In this math lesson, students interpret the different symbols used in the map. They determine slope and steepness through direct measurement.
Curated OER
A.P. Calculus BC Section II, Part A and Part B
In this A.P. Calculus BC learning exercise. students solve six practice problems. A graphing calculator is required on the first three questions and not allowed on the next three. Directions are provided.
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
Curated OER
Calculus Exam
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
Curated OER
Applications of Hyperbolas
In this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Curated OER
Worksheet 2 - Spring 1996
For this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
Curated OER
Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
Curated OER
AP Calculus Practice Exam BC Version- Section I -Part B
In this AP Calculus Practice Exam worksheet, students solve seventeen multiple-choice questions using a graphing calculator. This BC practice test is designed to be finished in fifty minutes.
Curated OER
A.P. Calculus Practice Exam BC Version Section I Part B
In this AP Calculus practice test worksheet, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator. The test should be timed and 50 minutes in length.
Curated OER
Seventeen Multiple Choice Calculator AP Calculus BC Practice Test
In this AP Calculus BC worksheet, students answer seventeen multiple choice questions with the use of a calculator. The questions are a fifty minutes times practice test for the AP exam.
Curated OER
Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus lesson plan, students solve areas rotated and bounded by two functions. They solve using the washer method.
Curated OER
The Intermediate Value Theorem
You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
Curated OER
Rate of Change
In this calculus instructional activity, learners calculate the rate of change in an isosceles trapezoid. They take the derivative to find their answer.
Curated OER
Timed Caluculus Exam
In this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
Curated OER
Worksheet 5
In this math instructional activity, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.